Question

Prove that if IGI = 462 then G is not simple.

Answer 1

Answer:To prove that G is not simple, we need to show that there exists a nontrivial normal subgroup of G.

Step-by-step explanation:If the index of the center of G (IGI) is 462, it means that there are 462 distinct left cosets of the center of G. This implies that the center of G is not trivial, and therefore G is not simple.